Question

Express each of the following ratios in its simplest forms:
$\left(iv\right)$ $2\text{years}:9\text{months}$

Answer 1

Express in the simplest form
We know that $1\text{year}=12\text{months}$
Therefore,
$2\text{years}=2\times 12=24\text{months}$
We have:
$2\text{years}:9\text{months}=\frac{2\text{years}}{9\text{months}}$
$=\frac{24\text{months}}{9\text{months}}=\frac{24}{9}$

Simplifying the above ratio or fraction into its simplest form by dividing Numerator and denominator by $3$,we get

$\frac{24}{9}=\frac{24÷3}{9÷3}=\frac{8}{3}=8:3$

Hence, the simplest form of the ratio
$2\text{years}:9\text{months}$ is $8:3$.